IMPERFECT INFORMATION,UNCERTAINTY AND OPTIMAL SAMPLING IN LOCATION THEORY: AN INITIAL REEXAMINATION OF HOTELLING,WEBER, AND VON THÜNEN*

ABSTRACT Sophisticated locational analysis should no longer proceed without examining (1) the feasibility of reducing uncertainty about the size and spatial spread of the market, prices and other elements and (2) the practicality of information generation through sampling. The present paper points out the methodology for Hotelling-, Weberian- and von Thünen- type location problems by examining simplified situations.     

ADDITIVE-RATIO MEASURES OF INTERACTMTY IN INPUT-OUTPUT SYSTEMS

ABSTRACT. A general axiomatic framework is developed for analyzing alternative measures of interactivity between the sectors of a given activity system (such as the industrial sectors of an economy). Within this overall framework, we analyze an ordinal class of additive-ratio measures which has been applied to a wide variety of systems, including both economic and ecological systems of activities. Our main result is to show that such measures can be characterized by four interactivity axioms. In addition, a wide variety of alternative measures are compared to additive-ratio measures in terms of this axiom system.